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math.DG2026
Stability and uniqueness of minimal disks in non-constant curvature
Sébastien Alvarez, Thibault Lefeuvre, Ben Lowe +1
Nitsche proved that every smooth Jordan curve in of total curvature at most bounds a unique minimal disk, which is moreover strictly stable. We prove an analogu…
math.DG2026
Foliated Plateau problems, surface Radon transforms, and boundary area rigidity in dimension three
Sébastien Alvarez, Thibault Lefeuvre, Ben Lowe +1
The present paper studies integral geometry problems on three-dimensional Riemannian balls, where integration is performed over minimal surfaces or, more generally, -surfaces de…